Question

Raju and Raman can complete a piece of work in 12 days and 16 days, respectively. If they work on alternate days, starting with Raju, in how many days will the work be completed?

• A. $$13\frac23$ days$
• B. $$13\frac13$ days$
• C. $$14\frac23$ days$
• D. $$14\frac13$ days$

Answer 1

Answer:

$$13\frac23$ days$

raju =12 days

raman 16 days

total work is the LCM=48

efficiency(one day work) of raju =48/12=4

efficiency(one day work) of raman =48/16=3

alternate days work start with raju

4,3,4,3,4,3,....

for 13 days the work is 46 then the next work is raman

one day work of raju is 3 but the work left is 2 so the work is 2/3

so the total work days is 13 and 2/3 days